Question

The terms are not in proportion if ad = bc. pls tell what is the answer pls tell the right answer to get brainliest and thanks

Answer 1

Answer:

Property 1 :

An equality of two ratios is called a proportion.

Four quantities a, b, c, d are said to be in proportion if

a : b = c : d

(also written as a : b :: c : d)

That is, if a/b = c/d.

Property 2 :

The quantities a, b, c, d are called terms of the proportion; a, b, c and d are called its first, second, third and fourth terms respectively.

First and fourth terms are called extremes (or extreme terms). Second and third terms are called means (or middle terms).

Property 3 :

In a proportion,

product of extremes = product of means.

If a : b = c : d are in proportion, ad = bc.

This is called cross product rule.

Property 4 :

Three quantities a, b, c of the same kind (in same units) are said to be in continuous proportion.

Now, we can write a, b, c in proportion as given below.

a : b = b : c

Using cross product rule, we have b2 = ac

Property 5 :

If a, b, c are in continuous proportion, then the middle term b is called the mean proportional between a and c, a is the first proportional and c is the third proportional.

Thus, if b is mean proportional between a and c, then

b2 = ac

b = √ac

Property 6 :

In a proportion a : b = c : d, all the four quantities need not be of the same type. The first two quantities should be of the same kind and last two quantities should be of the same kind.

Property 7 :

Invertendo :

If a : b = c : d, then b : a = d : c

Property 8 :

Alternendo :

If a : b = c : d, then a : c = b : d

Property 9 :

Componendo :

If a : b = c : d, then (a+b) : b = (c+d) : d

Property 10 :

Dividendo :

If a : b = c : d, then (a-b) : b = (c-d) : d

Property 11 :

Componendo and Dividendo :

If a : b = c : d, then (a+b) : (a-b) = (c+d) : (c-d)

Property 12 :

Addendo :

If a : b = c : d = e : f =.........., then each of these ratios is equal

(a + c + e + ........) : (b + d + f + ........)

Property 13 :

Subtrahendo :

If a : b = c : d = e : f =.........., then each of these ratios is equal

(a - c - e - ........) : (b - d - f - ........)